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Simplifying -5(p + -6) = -1p + 14 Reorder the terms: -5(-6 + p) = -1p + 14 (-6 * -5 + p * -5) = -1p + 14 (30 + -5p) = -1p + 14 Reorder the terms: 30 + -5p = 14 + -1p Solving 30 + -5p = 14 + -1p Solving for variable 'p'. Move all terms containing p to the left, all other terms to the right. Add 'p' to each side of the equation. 30 + -5p + p = 14 + -1p + p Combine like terms: -5p + p = -4p 30 + -4p = 14 + -1p + p Combine like terms: -1p + p = 0 30 + -4p = 14 + 0 30 + -4p = 14 Add '-30' to each side of the equation. 30 + -30 + -4p = 14 + -30 Combine like terms: 30 + -30 = 0 0 + -4p = 14 + -30 -4p = 14 + -30 Combine like terms: 14 + -30 = -16 -4p = -16 Divide each side by '-4'. p = 4 Simplifying p = 4
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